What is the Least Common Multiple of 30345 and 30354?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 30345 and 30354 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30345 and 30354, than apply into the LCM equation.

GCF(30345,30354) = 3
LCM(30345,30354) = ( 30345 × 30354) / 3
LCM(30345,30354) = 921092130 / 3
LCM(30345,30354) = 307030710

Least Common Multiple (LCM) of 30345 and 30354 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30345 and 30354. First we will calculate the prime factors of 30345 and 30354.

Prime Factorization of 30345

Prime Factorization of 30354

Now multiplying the highest exponent prime factors to calculate the LCM of 30345 and 30354.

LCM(30345,30354) = 3¹ × 5¹ × 7¹ × 17² × 2¹ × 5059¹
LCM(30345,30354) = 307030710